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Simplifying 5x + -8 + -8 + 10 + -3x = 9 + -1x + 6 + -5x + -13 Reorder the terms: -8 + -8 + 10 + 5x + -3x = 9 + -1x + 6 + -5x + -13 Combine like terms: -8 + -8 = -16 -16 + 10 + 5x + -3x = 9 + -1x + 6 + -5x + -13 Combine like terms: -16 + 10 = -6 -6 + 5x + -3x = 9 + -1x + 6 + -5x + -13 Combine like terms: 5x + -3x = 2x -6 + 2x = 9 + -1x + 6 + -5x + -13 Reorder the terms: -6 + 2x = 9 + 6 + -13 + -1x + -5x Combine like terms: 9 + 6 = 15 -6 + 2x = 15 + -13 + -1x + -5x Combine like terms: 15 + -13 = 2 -6 + 2x = 2 + -1x + -5x Combine like terms: -1x + -5x = -6x -6 + 2x = 2 + -6x Solving -6 + 2x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 2x + 6x = 2 + -6x + 6x Combine like terms: 2x + 6x = 8x -6 + 8x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 8x = 2 + 0 -6 + 8x = 2 Add '6' to each side of the equation. -6 + 6 + 8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 2 + 6 8x = 2 + 6 Combine like terms: 2 + 6 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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